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Simplifying 7x + 27 = x + 45 Reorder the terms: 27 + 7x = x + 45 Reorder the terms: 27 + 7x = 45 + x Solving 27 + 7x = 45 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 27 + 7x + -1x = 45 + x + -1x Combine like terms: 7x + -1x = 6x 27 + 6x = 45 + x + -1x Combine like terms: x + -1x = 0 27 + 6x = 45 + 0 27 + 6x = 45 Add '-27' to each side of the equation. 27 + -27 + 6x = 45 + -27 Combine like terms: 27 + -27 = 0 0 + 6x = 45 + -27 6x = 45 + -27 Combine like terms: 45 + -27 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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